Quinn M.

asked • 10/27/22

What is the temperature of the cake ?

Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C+ (To-C) e-kt, where t is the time it takes for an object to cool from temperature T0 to temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 201°F and is left to cool in a room that has a temperature of 67°F. After 40 minutes, the temperature of the cake is 134°F.


Question : What is the temperature of the cake after 50 minutes?

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